ECE
754 Nonlinear Systems Winter 2009 Instructor: Prof.
Andrea Serrani. 
Schedule: MWF
12:301:18pm
Room: 109 Caldwell Labs
Office hours: By
appointment (email: serrani@ece.osu.edu)
is definitely preferred, but feel free to knock at my door anytime.
Please note: The official web
page of the course is developed on Carmen.
Registered students should access all the necessary information about
the
course (including notes, homework sets, solutions, and the updated
syllabus) through Carmen.
Course Description
The course provides basic
mathematical tools for the analysis of nonlinear dynamical systems, and
introduces design techniques for the synthesis of nonlinear control
systems. Topics include: properties of solutions of nonlinear
differential equations, asymptotic behavior, Lyapunov stability theory,
periodic orbits, linearization by feedback, control design by
linearization methods, elementary local stabilization by state
feedback. Additional topics (time permitting) may include elementary
theory of dissipative systems, invariant manifold techniques,
describing function method.
Course Goals (as stated in the ECE course listing)
1. Develop mathematical
tools for analysis of nonlinear control systems.
2. Provide a thorough treatment of results from Lyapunov stability
theory.
3. Introduce useful engineering concepts from numerical methods and
phaseplane techniques.
4. Provide a basic treatment of design concepts for linearization via
feedback.
5. Introduce examples and applications of nonlinear system modeling and
control.
Prerequisites
State variables,
differential equations, introductory linear systems theory, elementary
stability theory (EE551 or graduate standing). Proficiency in basic
engineering mathematics (e.g., linear algebra, multivariable calculus,
and differential equations) is absolutely necessary. A basic, working
knowledge of Matlab/Simulink is required. Use of mathematical software
like Mathematica or Maple is encouraged, but not necessary.
Textbook and useful references:
Course outline 









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